Question types

Volume & Surface Area of Solids question types

81 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

81
Questions
5
Question groups
5
Question types
Sample Questions

Volume & Surface Area of Solids questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 11[3 marks sum]3 Marks
Find the volume, the total surface area, the lateral surface area and the diagonal of a cube each of whose edges measures :
(i) 8 m
(ii) 6.5 cm
(iii) 2 cm 6 mm
(Take $\sqrt{3}=1.73$ in each case)
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Q 12[3 marks sum]3 Marks
A room 9 m long, 6 m broad and 3.6 m high has one door 1.4 m by 2 m and two windows, each 1.6 m by 75 cm. Find :
(i) the area of 4 walls, excluding doors and windows;
(ii) the cost of white-washing the walls from inside at the rate of ₹ 22.50 per $m ^2$;
(iii) the cost of painting its ceiling at ₹ 25 per $m ^2$.
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Q 18MCQ1 Mark
The surface area of a cube of side 27 cm is
  • A
    $729 cm^2$
  • B
    $2916 cm^2$
  • $4374 cm^2$
  • D
    $19683 cm^2$

Answer: C.

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Q 19MCQ1 Mark
The number of bricks, each measuring $25 cm \times 12.5 cm \times 7.5 cm$ required to construct a wall 6 m long, 5 m high and 0.5 m thick, while the mortar occupies $5 \%$ of the volume of the wall, is
  • A
    3040
  • B
    5740
  • 6080
  • D
    8120

Answer: C.

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Q 20MCQ1 Mark
A wooden box of dimensions $8 m \times 7 m \times 6 m$ is to carry rectangular boxes of dimensions $8 cm \times 7 cm \times 6 cm$. The maximum number of boxes that can be carried in the wooden box, is
  • 1000000
  • B
    1200000
  • C
    7500000
  • D
    9800000

Answer: A.

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Q 21MCQ1 Mark
How many bricks, each measuring $25 cm \times 12.5 cm \times 7.5 cm$ will be needed to construct a wall 15 m long, 1.8 m high and 37.5 cm thick?
  • 4320
  • B
    4400
  • C
    4575
  • D
    4660

Answer: A.

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Q 22MCQ1 Mark
The length of the longest rod that can be placed in a room 30 m long, 24 m broad and 18 m high, is
  • A
    30 m
  • B
    $15 \sqrt{2} m$
  • $30 \sqrt{2} m$
  • D
    60 m

Answer: C.

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